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Simplifying (8x + -1)(9x + 9) = 0 Reorder the terms: (-1 + 8x)(9x + 9) = 0 Reorder the terms: (-1 + 8x)(9 + 9x) = 0 Multiply (-1 + 8x) * (9 + 9x) (-1(9 + 9x) + 8x * (9 + 9x)) = 0 ((9 * -1 + 9x * -1) + 8x * (9 + 9x)) = 0 ((-9 + -9x) + 8x * (9 + 9x)) = 0 (-9 + -9x + (9 * 8x + 9x * 8x)) = 0 (-9 + -9x + (72x + 72x2)) = 0 Combine like terms: -9x + 72x = 63x (-9 + 63x + 72x2) = 0 Solving -9 + 63x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(-1 + 7x + 8x2) = 0 Factor a trinomial. 9((-1 + -1x)(1 + -8x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {-1, 0.125}
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